Question

Image text transcribed for accessibility:Consider the communication system shown below. The signal x(t), with spectrum X(w) as shown in the figure, is multiplied by a cosine of frequency wc -2pi Times 10t rad/sec to obtain the signal z(t). Then, z(t) is passed through a low-pass filter H(w) with cutoff frequency wc to produce y(t). Then y(t) is multiplied by a cosine of frequency wo and the resulting signal w(t) is passed through a low-pass filter G(f) with cutoff frequency 2TimesB. The signal at the output of the filter G(w) is denoted by x^(t). Sketch Z(f). Sketch Y(f). Find the f0 values of fo and B such that x(f) - x^(t) so that we recover the original signal from the modulated signal. Also, sketch the spectrum W(w) of the signal w(t) that results from this choice of f0.